Boundary control of nonlinear coupled heat systems using backstepping

Handle URI:
http://hdl.handle.net/10754/622381
Title:
Boundary control of nonlinear coupled heat systems using backstepping
Authors:
Bendevis, Paul; Laleg-Kirati, Taous-Meriem ( 0000-0001-5944-0121 )
Abstract:
A state feedback boundary controller is designed for a 2D coupled PDE system modelling heat transfer in a membrane distillation system for water desalination. Fluid is separated into two compartments with nonlinear coupling at a membrane boundary. The controller sets the temperature on one boundary in order to track a temperature difference across the membrane boundary. The control objective is achieved by an extension of backstepping methods to these coupled equations. Stability of the target system via Lyapunov like methods, and the invertibility of the integral transformation are used to show the stability of the tracking error.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Citation:
Bendevis P, Laleg-Kirati T-M (2016) Boundary control of nonlinear coupled heat systems using backstepping. 2016 IEEE Conference on Control Applications (CCA). Available: http://dx.doi.org/10.1109/CCA.2016.7587963.
Publisher:
Institute of Electrical and Electronics Engineers (IEEE)
Journal:
2016 IEEE Conference on Control Applications (CCA)
Conference/Event name:
2016 IEEE Conference on Control Applications, CCA 2016
Issue Date:
20-Oct-2016
DOI:
10.1109/CCA.2016.7587963
Type:
Conference Paper
Appears in Collections:
Conference Papers; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorBendevis, Paulen
dc.contributor.authorLaleg-Kirati, Taous-Meriemen
dc.date.accessioned2017-01-02T09:28:27Z-
dc.date.available2017-01-02T09:28:27Z-
dc.date.issued2016-10-20en
dc.identifier.citationBendevis P, Laleg-Kirati T-M (2016) Boundary control of nonlinear coupled heat systems using backstepping. 2016 IEEE Conference on Control Applications (CCA). Available: http://dx.doi.org/10.1109/CCA.2016.7587963.en
dc.identifier.doi10.1109/CCA.2016.7587963en
dc.identifier.urihttp://hdl.handle.net/10754/622381-
dc.description.abstractA state feedback boundary controller is designed for a 2D coupled PDE system modelling heat transfer in a membrane distillation system for water desalination. Fluid is separated into two compartments with nonlinear coupling at a membrane boundary. The controller sets the temperature on one boundary in order to track a temperature difference across the membrane boundary. The control objective is achieved by an extension of backstepping methods to these coupled equations. Stability of the target system via Lyapunov like methods, and the invertibility of the integral transformation are used to show the stability of the tracking error.en
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)en
dc.subjectBacksteppingen
dc.subjectCoupled Anti-Symmetric Advection Diffusionen
dc.subjectLyapunov Stabilityen
dc.subjectMembrane Distillation Controlen
dc.subjectNonlinear Boundary Controlen
dc.titleBoundary control of nonlinear coupled heat systems using backsteppingen
dc.typeConference Paperen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.identifier.journal2016 IEEE Conference on Control Applications (CCA)en
dc.conference.date2016-09-19 to 2016-09-22en
dc.conference.name2016 IEEE Conference on Control Applications, CCA 2016en
dc.conference.locationBuenos Aires, ARGen
kaust.authorBendevis, Paulen
kaust.authorLaleg-Kirati, Taous-Meriemen
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